Give one example of how a learner on level 1 will define a rectangle.

Answers

Answer 1

Step-by-step explanation:

Level 1 Analysis: Describe shapes on the basis of their properties. Students learn what properties each shape has. Example: “All rectangles have 4 sides with opposite sides equal and parallel, and 4 right angles.” or “Perpendicular lines form a right angle.”

Answer 2

A learner on basic level one will define a rectangle by four straight lines at right angles.

A rectangle has four straight lines in which any two opposite sides are parallel and equal in length to each other and any two adjacent sides are perpendicular to each other making a right angle in between the sides.

It is a four-sided polygon having four angles in which all the internal angles are of 90 degree each. One can make a rectangle by taking 2 sets of two sticks different in length and arrange the equal sides opposite to each other making an angle of 90 degree between every adjacent side.

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Related Questions

how can you represent all the solutions y=2x

Answers

All the solutions of the equation y=2x can be represented by the points in the straight line.

We are given an equation. The equation is linear in nature. The equation is given below :

y = 2x

An equation is a mathematical statement that includes the sign 'equal to' between two expressions with equal values.

We can see that the equation is a straight line. A line is an endlessly long object with no breadth, depth, or curve in geometry. Lines are thus one-dimensional objects, even if they can exist in two, three, or higher dimensions. All the solutions to the equation can be represented by the coordinates of the points that satisfy the equation of line. The graph is attached below.

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1,3/5,9/25 find the 8th term

Answers

Answer:

2187/78125

Step-by-step explanation:

T(n) = 3^(n-1) / 5^(n-1)

Please help me with this : For the coordinate grid to the right, identify a pair of congruent figures. Then determine a congruence transformation that maps the preimage to the congruent image.

Answers

SOLUTION:

From the image;

The congruent triangles are;

[tex]\Delta ZTF\cong\Delta BQY[/tex]

2. The transformation that maps these triangles is;

[tex]T(-5,-1)\circ r_{(180^o,O)}(\Delta ZTF)[/tex]

This means triangle ZTF was translated 5 units to the left and 1 unit down and rotated 180 degrees about the origin to get triangle BQY,

help meeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

33

Step-by-step explanation:

you are scamming everyone. why?

1 Type the correct answer in each box. Use numerals instead of words, Consider this quadratic equation, x2 + 2x + 7 = 21 The number of positive solutions to this equation is The approximate value of the greatest solution to the equation, rounded to Reset

Answers

Answer:

The number of positive solutions to this equation is;

[tex]1[/tex]

The approximate value of the greatest solution to the equation is;

[tex]2.87[/tex]

Explanation:

Given the equation;

[tex]x^2+2x+7=21[/tex]

Let us subtract 21 from both sides;

[tex]\begin{gathered} x^2+2x+7-21=21-21 \\ x^2+2x-14=0 \end{gathered}[/tex]

We can now solve for x using the quadratic formula;

[tex]x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}[/tex]

from the equation;

[tex]\begin{gathered} a=1 \\ b=2 \\ c=-14 \end{gathered}[/tex]

substituting;

[tex]\begin{gathered} x=\frac{-2\pm\sqrt[]{2^2-4(1)(-14)}}{2(1)} \\ x=\frac{-2\pm\sqrt[]{4+56}}{2} \\ x=\frac{-2\pm\sqrt[]{60}}{2} \end{gathered}[/tex]

so, we have;

[tex]\begin{gathered} x=\frac{-2\pm\sqrt[]{60}}{2} \\ x=\frac{-2+\sqrt[]{60}}{2} \\ x=2.87 \\ \text{and} \\ x=\frac{-2-\sqrt[]{60}}{2} \\ x=-4.87 \end{gathered}[/tex]

Therefore, the number of positive solutions to this equation is;

[tex]1[/tex]

The approximate value of the greatest solution to the equation is;

[tex]2.87[/tex]

What is it called when two numbers have a product of one

Answers

Answer: Reciprocals

Explanation isn't really needed but reciprocals are basically
Example:

3/4's reciprocal is 4/3 and multiplying 3/4 x 4/3 = 1

Solve for X

3-4x+5=2(8-2x)

Answers

Value of x will be 0.

What is equation?

A mathematical expression with an equals sign is referred to as an equation. Algebra is widely used in equations. When performing calculations but unsure of the precise amount, algebra is used. Based on the degree, there are three different sorts of equations. Equations that are linear, quadratic, and cubic. In mathematics, an equation is a relationship between two expressions that is expressed as an equality on each side of the equal to sign. An equation would be 3y = 16, for instance.

Given Data

3-4x+5=2(8-2x)

3 - 4x + 5 = 16 -4x

3 + 5 -16 = -4x+4x

-8 = 0

Value of x will be 0.

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A triangle has sides of length 7 centimeters, 5.6 centimeters, and 4.2 centimeters. What is the perimeter?​

Answers

The perimeter of the triangle is 16.8 cm.

What is a triangle?A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes. Triangle ABC is the designation for a triangle with vertices A, B, and C. In Euclidean geometry, any three points that are not collinear produce a distinct triangle and a distinct plane. According to the sides of a triangle rule, the lengths of any two sides of a triangle must add up to more than the length of the third side.

So, the perimeter of the triangle:

Formula: P = a + b + cWhere a = 7, b = 5.6 and c = 4.2.

Now, substitute the values in the formula as follows:

P = a + b + cP = 7 + 5.6 + 4.2P = 16.8

Therefore, the perimeter of the triangle is 16.8 cm.

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can someone solve this?2 > -3t - 10and is it an open or closed circle?

Answers

Given data:

The given inequality is 2> -3t-10.

The given inequality can be written as,

[tex]\begin{gathered} 2>-3t-10 \\ 12>-3t \\ 4>-t \\ t>-4 \end{gathered}[/tex]

Thus the value of t is (-4, ∞), and it is open interval.

Determine if the following system of equations has no solutions , infinitely many solutions or exactly one solution .- Infinitely Many Solutions - One Solution - No Solutions

Answers

Let's begin by identifying key information given to us:

[tex]\begin{gathered} x+3y=8----1 \\ x-3y=-6---2 \\ A\text{dd equations 1 \& 2, we have:} \\ x+x+3y-3y=8-6 \\ 2x=2 \\ x=1 \\ \text{Substitute the value of ''x'' into equation 1, we have:} \\ 1+3y=8 \\ \text{Subtract ''1'' from both sides, we have:} \\ 1-1+3y=8-1 \\ 3y=7 \\ y=\frac{7}{3} \end{gathered}[/tex]

Therefore, the system of equations has one solution

4x^(2)+4=20 solve by using square roots

Answers

Explanation

We are told to resolve the quadratic equation

[tex]4x^2+4=20[/tex]

To do so, we will have to collect like terms

[tex]\begin{gathered} 4x^2=20-4 \\ 4x^2=16 \end{gathered}[/tex]

Then we will divide both sides by 4

[tex]\begin{gathered} \frac{4x^2}{4}=\frac{16}{4} \\ \\ x^2=4 \end{gathered}[/tex]

Thus the value of x will be obtained using square root

[tex]\begin{gathered} x=\pm\sqrt{4} \\ x=\pm2 \end{gathered}[/tex]

Therefore, the values of x are: x=2, x=-2

Choose a sequence of similarity transformations that maps ABC to DEF

Answers

A similarity transformation is one or more rigid transformations (reflection, rotation, translation) followed by a dilation.

When a figure is transformed by a similarity transformation, an image is created that is similar to the original figure

In this case, the sequence of transformation that maps ABC to DEF is as follow:

• Reflection across the x-axis

,

• A scale factor of 2

It is a reflection across the x-axis because the image is turned upside down and it is enlarged because:

[tex]\frac{DE}{AC}=\frac{4}{2}=2[/tex]

Hence Option A is correct

The winner of a card game is the person closest to 0.The second place player was 8 points behind.If the winner had a score of -3 then what was the score for 2nd place?

Answers

ANSWER:

-11

STEP-BY-STEP EXPLANATION:

We have that the winner has a score of -3, and the second place, 8 points behind, therefore, the score of the second place would be:

Therefore:

[tex]-3-8=-11[/tex]

The score is -11

A survey found that women's heights are normally distributed with mean 63.6 in. and standard deviation 3,8 in. The survey also found that men's heights are normally distributed with
mean 67.6 in. and standard deviation 3.6 in. Most of the live characters employed at an amusement park have height requirements of a minimum of 56 in. and a maximum of 62 in.
Complete parts (a) and (b) below.
a. Find the percentage of men meeting the height requirement. What does the result suggest about the genders of the people who are employed as characters at the amusement park?
The percentage of men who meet the height requirement iS
(Round to two decimal places as needed.)
%.
Since most men
the height requirement, it is likely that most of the characters are
b. If the height requirements are changed to exclude only the tallest 50% of men and the shortest 5% of men, what are the new height requirements?
The new height requirements are a minimum of
in. and a maximum of in.
(Round to one decimal place as needed.)

Answers

The percentage of men meeting the height requirement is 5.93%.The new height requirements are a minimum of 61.7 inches  and a maximum of  67.6 inches.

What is probability?

Mathematical explanations of the likelihood that an event will occur or that a statement is true are referred to as probabilities. A number between 0 and 1 represents the likelihood of an event, with 0 generally denoting impossibility and 1 denoting certainty. The likelihood or chance that a specific event will occur is represented by a probability. Both proportions between 0 and 1 and percentages between 0% and 100% can be used to describe probabilities. A measure of how likely something is to happen is called a probability. It gauges how likely the occurrence is to occur. The probability equation reads as follows: P(E) = Number of Favorable Outcomes/Total Outcomes.

For mean deviation of women

σ = 3.8

μ = 63.6

For mean deviation of men

σ = 3.6

μ = 67.6

The probability  for men

= 5.93%

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Which does NOT represent a valid argument?Anyone who buys a boat will go water skiing.Ivan bought a boat.Ivan will go water skiing.Everyone who went to the football gamecheered.Maria cheered.Maria went to the football game.If the Nationals win the playoffs, then I will behappy.O if I am happy, then I will have a party.If the Nationals win the playoffs, then I will have aparty.Everyone who studies Geometry will pass theSOL.Everyone who passes the SOL will be exemptfrom the exam.Everyone who studies Geometry will be exemptfrom the exam,

Answers

the statement that does not represent a valid arguement is,

Everyone who went to the football game cheered.

Maria cheered.

Maria went to the football game.

17. 17. The scores for a math test are shown below, ordered from smallest to largest. 60 61 62 63 63 64 64 65 66 66 66 69 72 72 72 74 75 80 82 84 86 86 87 87 89 89 90 93 94 98 Fill out the stem and leaf plot below for this data. Enter the leaves separated by commas (ex: 1,1,2,3). Stems Leaves

Answers

Answer:

Filling the values we have;

Explanation:

Given the data on the given table, we want to fill them in a stem leaves plot.

The tens values would be in the stems while the unit values will be written in their corresponding leaves.

Filling the values we have;

Given mn, find the value of x.
t
(9x+7)°
(10x-10)°

Answers

(9x+7=10x-10)

All terms are shifted to the left:

(9x+7-(10x-10))=0

Parentheses are used to compute terms: +(9x+7-(10x-10)), so:

9x+7-(10x-10)

the Function Domain determination

9x-(10x-10)

+7

We eliminate parenthesis.

9x-10x+10+7

All the numbers and variables are added together.

-

1x+17

Returning to the equation

+(-1x+17)

We eliminate parenthesis.

-1x+17=0

We shift every term that contains x to the left and every other term to the right.

-x=-17 \sx=-17/-1 \sx=+17

Relation of degrees of polynomials:

How can you determine an equation's degree?

The degree of a term in the polynomial expression is expressed as a + b if a and b are the exponents of the many variables in a term.

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A rectangular pool is surrounded by a walk 3 meters wide. The pool is 5 meters longer than its width. If the total area of the pool and walk is 270 square meters more than the area of the​ pool, find the dimensions of the pool.

Answers

The length and width of the rectangular pool are respectively; Length = 22 meters and Width = 17 meters

What is the area of the rectangle?

Area of the pool which is a rectangle has the formula;

A = Length(L) * Width(w)

Let the width of the pool = x

Then the length will = (x + 5)

Since the walkway is 3 meters wide, It means that the overall dimensions will be (x + 6) by (x + 5 + 6) or (x + 11)

Total area - pool area = 270

Thus;

(x + 11) * (x + 6) - x(x + 5) = 270

x² + 11x + 6x + 66 - x² - 5x = 270

17x - 5x + 66 = 270

12x + 66 = 270

12x = 270 - 66

x = 204/12

x = 17

Length of pool = x + 5 = 17 + 5 = 22 meters

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Ordering Decima
A) Write each set of decimals in increasing order.
1)
14.78, 46.1, 25.5, 14.8, 32.32
2)
37.44, 9.32, 16.49, 9.67, 37.91

Answers

Increasing order :

1)  14.78 , 14.8 , 25.5 , 32.32 , 46.1

2) 9.32 , 9.67 , 16.49 , 37.44 , 37.91

What is ascending order ?

Numbers can be arranged in ascending order, from least value to highest value. The arrangement is left to right. Increasing order is another name for ascending order.The base-10 number system is known as the decimal system.The accepted method for representing both integer and non-integer numbers is the decimal numeral system.It is the extension to non-integer numbers.Decimal notation is the term used to describe the method of representing numbers in the decimal system.

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How many thousands are in 50,000

Answers

ANSWER

50

EXPLANATION

We want to know how many thousands there are in 50,000

To do this, we have to find what we will multiply by 1000 to get 50,000

That is:

[tex]\begin{gathered} x\cdot\text{ 1000 = 50000} \\ \Rightarrow\text{ x = }\frac{50000}{1000} \\ x\text{ = 50} \end{gathered}[/tex]

The answer is 50.

At the bicycle shop there are 23 bicycles and 18 tricycles. Each bicycle has 2 wheels, and each tricycle has three wheels. How many wheels are there at the bicycle shop?

Answers

Answer:

There are 100 wheels

Step-by-step explanation:

Given

Number of bicycles = 23,Number of tricycles = 18

Total number of wheels

23*2 + 18*3 = 46 + 54 = 100

There is lightning rod on the top of a building. From a location 500 feet from the base of the building, the angle of elevation to the top of the building is measured to be 36°. From the same location, the angle of elevation to the top of the lightning rod is measured to be 38°. Find the height of the lightning rod. To earn full credit please share a diagram and include all your work and calculations

Answers

To better analyze the problem, let us draw an illustration:

To determine the height of the lightning rod, we have to determine the height of the building and the height of the building + lightning rod using the given angles and distance from the base.

Let's solve for the height of the building itself first. Use the 36-degree angle.

[tex]tan36=\frac{height\text{ }of\text{ }the\text{ }building}{distance\text{ }from\text{ }the\text{ }building}[/tex]

Let's plug in the data to the function above and solve for the height of the building.

[tex]\begin{gathered} tan36=\frac{x}{500ft} \\ 500tan36=x \\ 363.2713ft=x \end{gathered}[/tex]

Therefore, the height of the building itself is 363.2713 ft.

Moving on to the height of the building + lightning rod, use the tangent function still but this time, use the 38-degree angle.

[tex]\begin{gathered} 500tan38=x \\ 390.6428=x \end{gathered}[/tex]

Therefore, the height of the building + lightning rod is 390.6428ft.

So, to determine the height of the lightning rod only, let's subtract the two calculated heights.

[tex]\begin{gathered} lightning\text{ }rod=390.6428ft-363.2713ft \\ lightning\text{ }rod=27.3715\approx27.37ft \end{gathered}[/tex]

Answer:

The height of the lightning rod is approximately 27.37 ft.

3/4=6/x proportionsolve for x

Answers

5) x = 8

Explanation:[tex]\frac{3}{4}=\frac{6}{x}[/tex]

cross multply:

[tex]\begin{gathered} 3\times\text{ x = 4 }\times\text{ 6} \\ 3x\text{ = 24} \end{gathered}[/tex]

divide both sides by 3:

[tex]\begin{gathered} \frac{3x}{3\text{ }}=\text{ }\frac{\text{24}}{3} \\ x\text{ = 8} \end{gathered}[/tex]

Pluto has a diameter of 1,413 miles. What does this distance equal in kilometers?
(1 mile = 1.6 kilometers)


A. 12,761 km
B. 2,275 km
C. 3,476 km
D. 143,042 km

Answers

Answer:

B

Step-by-step explanation:

since 1 mile is 1.6 kilometers we multiply 1,413 with 1.6 and it equals 2260.8

And since 1.6 was a approximation the closest answer is B

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Identify the 25th term of an arithmetic sequence where a1 = −7 and a18 = 95

Answers

The 25th term is 137

Explanation:[tex]\begin{gathered} \text{Given:} \\ a_1\text{ = -7} \\ a_{18}\text{ = 95} \\ a_{25}\text{ = ?} \end{gathered}[/tex]

To get the 25th term, we need to find the common difference.

An arithmetic sequence is given as:

[tex]\begin{gathered} a_n=a_1\text{ + (n - 1)d} \\ \text{where a}_1\text{ = first term} \\ n\text{ = number of terms} \\ d\text{ = co}mmon\text{ difference} \end{gathered}[/tex]

The formula for the 18th term will be used to find the common difference:

[tex]\begin{gathered} \text{where n = 18} \\ a_{18}=a_1\text{ + (18 - 1)(d)} \\ 95\text{ = -7 + 17d} \\ 95\text{ + 7 = 17d} \\ 102\text{ = 17d} \\ d\text{ = }\frac{102}{17} \\ d\text{ = 6} \end{gathered}[/tex]

Now we can find the 25th term:

[tex]\begin{gathered} \text{where n = 25} \\ a_{25}=a_1\text{ + (25 - 1)d} \\ a_{25}=a_1\text{ + 24d} \\ a_{25}=\text{ -7 + 24(6) }=\text{ 144 - 7} \\ a_{25}=\text{ }137 \end{gathered}[/tex]

The 25th term is 137

Hope you help me, I need help with the check part

Answers

1.- 3(x - 2) = 15

Solve for x 3(x - 2)/3 = 15/3

Simplifying x - 2 = 5

(x - 2) = 15/3

(x - 2) = 5

x - 2 = 5

x = 5 + 2

x = 7

Check. Substitute the value of x in the original equation and solve it

3(7 - 2) = 15

3(5) = 15

15 = 15 As the two value are the same, the solution of x is

correct.

2.- 4y + 9 - 7y = -6

Solve for y

Simplify like terms

4y - 7y + 9 = -6

- 3y + 9 = -6

-3y = -6 - 9

-3y = -15

-3y/-3 = -15/-3

y = 5

Check

4(5) + 9 - 7(5) = -6

20 + 9 - 35 = -6

29 - 35 = -6

-6 = -6 The solution is correct because both numbers are the same.

simplify the equation

Answers

The simplified expression of the equation given as (x² - 16)/(x² -2x - 3) ≤ 4 is 3x² -8x + 4 ≥ 0

How to simplify the equation?

From the question, we have the following parameters

(x² - 16)/(x² -2x - 3) ≤ 4

Multiply both sides of the expression by (x² -2x - 3)

So, we have the following representation

(x² -2x - 3) *  (x² - 16)/(x² -2x - 3) ≤ 4 * (x² -2x - 3)

Evaluate the products in the above expression

So, we have the following equation

(x² - 16) ≤ 4 * (x² -2x - 3)

Open the brackets

This gives

x² - 16 ≤ 4x² -8x - 12

Collect the like terms in the above expression

So, we have the following equation

0 ≤ 3x² -8x +4

Rewrite the expression as

3x² -8x + 4 ≥ 0

Hence, the simplified expression of the equation is 3x² -8x + 4 ≥ 0

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Need help asap extra points

Answers

The most appropriate choice for equation of line in slope intercept form will be given by-

[tex]8x - 5y = 26[/tex] is the required equation of line.

What is equation of line in slope intercept form?

General form of equation of line in slope intercept form is given by

y = mx + c where m is the slope of the line and c is the y intercept of the line.

The distance from the origin to the point where the line cuts the y axis is the y intercept

The distance from the origin to the point where the line cuts the x axis is the x intercept

Here,

[tex]8x - 5y = 4\\5y = 8x - 4\\y = \frac{8}{5}x - \frac{4}{5}[/tex]

Slope of [tex]8x - 5y = 4[/tex] is [tex]\frac{8}{5}\\[/tex]

Slope of the line parallel to the given line = [tex]\frac{8}{5}[/tex]

The line passes through (2, -2)

Equation of line =

[tex]y - (-2) = \frac{8}{5}(x - 2)\\5y + 10 = 8x -16\\8x - 5y = 16+10\\8x - 5y = 26[/tex]

This is the required equation of line.

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which expression is equivalent to. -2(5x + 3y)
A. 3y(5x - 2)
B 5x(-2+3y)
c -10x - 6y
-10x + 3y

Answers

The -2 multiplies each every term in the brackets. meaning -2 will multiply 5x and also 3y

[tex] = - 2(5x) - 2(3y) \\ = - 10x - 6y[/tex]

OPTION C MATCHES AS THE SOLUTION.

GOODLUCK

Find the difference of (4y2 - 2y - 5) and (y² - y + 8).4у2 - 3у - 133у2 - у - 135y2 - 3y + 33у2 - 3у + 3

Answers

Explanation

We must find the difference between the following polynomials:

[tex]\begin{gathered} f_1(y)=4y^2-2y-5, \\ f_2(y)=y^2-y+8. \end{gathered}[/tex]

The difference between the polynomials is obtained by subtracting the coefficient of terms with equal power of y:

[tex]\begin{gathered} f_1(y)-f_2(y) \\ =\left(4y^2-2y-5\right)-\left(y^2-y+8\right) \\ =\left(4y^2-y^2\right)+\left(-2y+y\right)+\left(-8-5\right) \\ =3y^2-y-13. \end{gathered}[/tex]Answer

3y² - y - 13

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